I am a high school student who has just started reading elementary electromagnetism and am a completely beginner in this subject.
I have read in books that EM waves are nothing but sinusoidal oscillations of electric fields (and simultaneous sinusoidal oscillations of the induced magnetic field, which is obvious, as predicted by the Maxwell's law of induction) that propagate through space at the speed of light c.
I also have come to know that an uncharged conducting shell immersed in an external electric field (as predicted by the Gauss' Law of electricity) will not permit the external electric field lines to enter into the shell and act as the so called Faraday cage.
This is where something struck me as absurd:
If I immerse a conducting shell in a sinusoidally varying and propagating external electric field- then, as the field disturbance reaches the shell, it would in no way penetrate inside it to affect the interior of the shell and the field inside the shell will remain null.
But, that means the EM waves cannot enter the shell interior, doesn't it?
Everything goes wrong here: a transparent conducting shell is a mere paradox? Where has my reasoning gone wrong? What is the source of my great misconception?
I could find no satisfactory answer in the internet; An elementary explanation is needed- for as I said earlier, I am a complete novice and want to clear my beginner level misconceptions.